The Bott-Duffin \((e,f)\)-inverses and their applications

DOI10.1016/j.laa.2015.10.009zbMath1326.15009OpenAlexW2179094404MaRDI QIDQ891528

Yuanyuan Ke, Jian-Long Chen

Publication date: 17 November 2015

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2015.10.009

zbMATH Keywords

generalized inverseBott-Duffin \((e,f)\)-inverseimage-kernel \((p,q)\)-inverseouter generalized inverse

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Endomorphism rings; matrix rings (16S50) Conditions on elements (16U99)

Related Items

Weighted inner inverse for rectangular matrices ⋮ The \((b,c)\)-inverse in rings and in the Banach context ⋮ The (b,c)-inverse for products and lower triangular matrices ⋮ Outer inverses in semigroups belonging to the prescribed Green's equivalence classes ⋮ Further results on the (b, c)-inverse, the outer inverse AT,S(2) and the Moore–Penrose inverse in the Banach context ⋮ Characterizations of clean elements by means of outer inverses in rings and applications ⋮ The reverse order law of the \((b,c)\)-inverse in semigroups ⋮ New results on (b, c)–inverses

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